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Simplifying -12p + -4(5 + -5p) = 5(p + -6) + -8 -12p + (5 * -4 + -5p * -4) = 5(p + -6) + -8 -12p + (-20 + 20p) = 5(p + -6) + -8 Reorder the terms: -20 + -12p + 20p = 5(p + -6) + -8 Combine like terms: -12p + 20p = 8p -20 + 8p = 5(p + -6) + -8 Reorder the terms: -20 + 8p = 5(-6 + p) + -8 -20 + 8p = (-6 * 5 + p * 5) + -8 -20 + 8p = (-30 + 5p) + -8 Reorder the terms: -20 + 8p = -30 + -8 + 5p Combine like terms: -30 + -8 = -38 -20 + 8p = -38 + 5p Solving -20 + 8p = -38 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -20 + 8p + -5p = -38 + 5p + -5p Combine like terms: 8p + -5p = 3p -20 + 3p = -38 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 3p = -38 + 0 -20 + 3p = -38 Add '20' to each side of the equation. -20 + 20 + 3p = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -38 + 20 3p = -38 + 20 Combine like terms: -38 + 20 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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